tính nhanh
\(\frac{2003x1999-2003x999}{2004x999+1004}\)
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\(\dfrac{2003\times1999-2003\times999}{2004\times999+1004}=\) \(\dfrac{2003\times\left(1999-999\right)}{\left(1000+1004\right)\times999+1004}\)
\(=\dfrac{2003\times1000}{1000\times999+1004\times999+1004}\)
\(=\dfrac{2003\times1000}{1000\times999+1004\times\left(999+1\right)}\)
\(=\dfrac{2003\times1000}{1000\times999+1004\times1000}\)
\(=\dfrac{2003\times1000}{1000\times\left(999+1004\right)}\)
\(=\dfrac{2003}{2003}=1\)
\(\frac{2003x1999-2003x999}{2004x999x1994}=\frac{2003x\left(1999-999\right)}{2004x999x1994}\)
\(=\frac{2003x1000}{2004x999x1994}=\frac{1}{1994x}\)
\(\left(\frac{20052005}{20062006}-\frac{20042004}{20052005}\right)x2005x2006\)
\(=\left(\frac{2005x10001}{2006x1001}-\frac{2004x10001}{2005x10001}\right)x2005x2006\)
\(=\left(\frac{2005}{2006}-\frac{2004}{2005}\right)x2005x2006\)
\(=\frac{2005x2005x2006}{2006}-\frac{2004x2005x2006}{2005}\)
\(=2005x2005-2004x2006\)
\(=2005x2005-\left(2005-1\right)x2006\)
\(=2005x2005-2005x2006+2006\)
\(=1\)
cảm ơn bạn tíntiếnngân nha nhưng hình nhữ cách làm của bạn bị sai rồi nha
2003x1999-2003x999
= 2003x(1999 - 999 )
= 2003 x 1000
= 2003000
2004 x 999 + 1004
= ( 2003 + 1 ) x 999 + 1004
= 2003 x 999 + 999 + 1004
= 2003 x 999 +2003
= 2003 x ( 999 + 1 )
= 2003 x 1000
= 2003000
\(\frac{2003\times1999-2003\times999}{2004\times999+1004}\)
\(=\frac{2003\times\left(1999+999\right)}{2004\times999+1004}\)
\(=\frac{2003\times2998}{2001996+1004}\)
\(=\frac{60004994}{2003000}\)
a)2004x999+2004x1
=2004x(999+1)
=2004x1000
=2004000
b)1998x1001+1998x1
=1998x(1001+1)
=1998x1002
=2001996
tk mk nha bn
2.005x1004-8.02
= 2.005x1000+2.005x4-8.02
=2005+8.02-8.02
=2005
\(\frac{2003\cdot1999-2003\cdot999}{2004\cdot999+1004}\)
\(=\frac{2003\cdot\left(1999-999\right)}{2004\cdot\left(999+1\right)}\)
\(=\frac{2003\cdot1000}{2004\cdot1000}\)
\(=\frac{2003}{2004}\)